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A note on maximal operators of Hardy–Littlewood type

Published online by Cambridge University Press:  24 October 2008

Juan Sueiro
Juan Sueiro
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain
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Extract

We give a quick proof of a result of A. Nagel and E. M. Stein concerning the boundedness of certain generalizations of the Hardy-Littlewood maximal operator.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 1 , July 1987 , pp. 131 - 134
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

[1] Coifman, R. and Weiss, G.. Analyse Harmonique Non-commutative sur Certains Espaces Homo-genes. Lecture Notes in Math. vol. 242 (Springer-Verlag, 1971).CrossRefGoogle Scholar
[2] Nagel, A. and Stein, E. M.. On certain maximal functions and approach regions. Adv. in Math. 54 (1984), 83–106.CrossRefGoogle Scholar
[3] Stein, E. M.. Singular Integrals and Differentiability Properties of Functions (Princeton University Press, 1970).Google Scholar
[4] Sueiro, J.. On maximal functions and Poisson-Szegö integrals. Trans. Amer. Math. Soc. 298 (1986), 653–669.Google Scholar